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Finding the Fourth Proportional to 296,603.32, 409,317.42 and 162,458.68

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Solution

The fourth proportional to 296,603.32, 409,317.42 and 162,458.68 is: 224,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,603.32 : 409,317.42 = 162,458.68 : x
  2. Step 2: Convert to fraction form
    296,603.32/409,317.42 = 162,458.68/x
  3. Step 3: Cross multiply
    296,603.32x = 409,317.42 × 162,458.68
  4. Step 4: Simplify right side
    296,603.32x = 66,497,167,754.21
  5. Step 5: Solve for x
    x = 66,497,167,754.21/296,603.32
  6. Step 6: Final answer
    x = 224,195.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.